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2026440 = 2332513433
BaseRepresentation
bin111101110101111001000
310210221202100
413232233020
51004321230
6111233400
723136663
oct7565710
93727670
102026440
111164549
12818860
1355c4a0
143aa6da
152a0660
hex1eebc8

2026440 has 96 divisors (see below), whose sum is σ = 7108920. Its totient is φ = 497664.

The previous prime is 2026397. The next prime is 2026447. The reversal of 2026440 is 446202.

2026440 is a `hidden beast` number, since 20 + 2 + 644 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 820836 + 1205604 = 906^2 + 1098^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2026447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4464 + ... + 4896.

22026440 is an apocalyptic number.

2026440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554460).

2026440 is an abundant number, since it is smaller than the sum of its proper divisors (5082480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2026440 is a wasteful number, since it uses less digits than its factorization.

2026440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2026440 is about 1423.5308215841. The cubic root of 2026440 is about 126.5448814066.

The spelling of 2026440 in words is "two million, twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 433 468 520 585 780 866 936 1170 1299 1560 1732 2165 2340 2598 3464 3897 4330 4680 5196 5629 6495 7794 8660 10392 11258 12990 15588 16887 17320 19485 22516 25980 28145 31176 33774 38970 45032 50661 51960 56290 67548 77940 84435 101322 112580 135096 155880 168870 202644 225160 253305 337740 405288 506610 675480 1013220 2026440